Properties

Label 468270b
Number of curves $1$
Conductor $468270$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 468270b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
468270.b1 468270b1 \([1, -1, 0, -35415, 2552391]\) \(460250299201/4493070\) \(47955834607230\) \([]\) \(4101120\) \(1.4445\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 468270b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 468270b do not have complex multiplication.

Modular form 468270.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 5 q^{7} - q^{8} + q^{10} + 5 q^{13} + 5 q^{14} + q^{16} - 7 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display